7221632 has 64 divisors (see below), whose sum is σ = 16450560. Its totient is φ = 3125760.

The previous prime is 7221631. The next prime is 7221649. The reversal of 7221632 is 2361227.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 7221598 and 7221607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7221631) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32273 + ... + 32495.

It is an arithmetic number, because the mean of its divisors is an integer number (257040).

Almost surely, 2^7221632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7221632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8225280).

7221632 is an abundant number, since it is smaller than the sum of its proper divisors (9228928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7221632 is a wasteful number, since it uses less digits than its factorization.

7221632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 259 counting only the distinct ones).

The product of its digits is 1008, while the sum is 23.

The square root of 7221632 is about 2687.3094351042. The cubic root of 7221632 is about 193.2910675211.

Adding to 7221632 its reverse (2361227), we get a palindrome (9582859).

It can be divided in two parts, 72 and 21632, that multiplied together give a square (1557504 = 1248²).

The spelling of 7221632 in words is "seven million, two hundred twenty-one thousand, six hundred thirty-two".